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What is the potential energy of two equal positive point charges of \(1~ \mu \text{C}\) each held \(1\) m apart in the air?

1. | \(9 \times 10^{-3}~\text{J}\) | 2. | \(9 \times 10^{-3}~\text{eV}\) |

3. | \(2~\text{eV/m}\) | 4. | zero |

Subtopic: Electric Potential Energy |

76%

From NCERT

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Three charges *\(Q\)*, \(+q \) and \(+q \) are placed at the vertices of an equilateral triangle of side *\(l\)* as shown in the figure. If the net electrostatic energy of the system is zero, then *\(Q\)* is equal to:

1. | \(-\frac{q}{2} \) | 2. | \(-q\) |

3. | \(+q\) | 4. | \(\text{zero}\) |

Subtopic: Electric Potential Energy |

72%

From NCERT

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Two charges *q*_{1} and *q*_{2} are placed 30 cm apart, as shown in the figure. A third charge *q*_{3 }is moved along the arc of a circle of radius 40 cm from *C* to *D*. The change in the potential energy of the system is $\frac{{q}_{3}}{4\pi {\epsilon}_{0}}k$, where *k* is:

** **

1. | 8q_{2} |
2. | 8q_{1} |

3 | 6q_{2} |
4. | 6q_{1} |

Subtopic: Electric Potential Energy |

66%

From NCERT

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If \(50~\text{J}\) of work must be done to move an electric charge of \(2~\text{C}\) from a point where the potential is \(-10\) volt to another point where the potential is \(\mathrm{V}\) volt, then the value of \(\mathrm{V}\) is:

1. \(5\) volt

2. \(-15\) volt

3. \(+15\) volt

4. \(+10\) volt

Subtopic: Electric Potential |

84%

From NCERT

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Three charges, each \(+q\), are placed at the corners of an equilateral triangle \(ABC\) of sides \(BC\), \(AC\), and \(AB\). \(D\) and \(E\) are the mid-points of \(BC\) and \(CA\). The work done in taking a charge \(Q\) from \(D\) to \(E\) is:

1. | \(\frac{3qQ}{4\pi \varepsilon_0 a}\) | 2. | \(\frac{3qQ}{8\pi \varepsilon_0 a}\) |

3. | \(\frac{qQ}{4\pi \varepsilon_0 a}\) | 4. | \(\text{zero}\) |

Subtopic: Electric Potential |

82%

From NCERT

AIPMT - 2011

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A bullet of mass 2 g is having a charge of 2 µC. Through what potential difference must it be accelerated, starting from rest, to acquire a speed of 10 m/s?

1. 50 kV

2. 5 V

3. 50 V

4. 5 kV

Subtopic: Electric Potential |

76%

From NCERT

AIPMT - 2004

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Ten electrons are equally spaced and fixed around a circle of radius *R*. Relative to *V* = 0 at infinity, the electrostatic potential *V* and the electric field *E* at the centre *C* are:

1. | \(V \neq 0 \text { and } \vec{E} \neq 0\) |

2. | \(V \neq 0 \text { and } \vec{E}=0\) |

3. | \(V=0 \text { and } \vec{E}=0\) |

4. | \(V=0 \text { and } \vec{E} \neq 0\) |

Subtopic: Electric Potential |

77%

From NCERT

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Four electric charges \(+\mathrm q,\) \(+\mathrm q,\) \(-\mathrm q\) and \(-\mathrm q\) are placed at the corners of a square of side \(2\mathrm{L}\) (see figure). The electric potential at point A, mid-way between the two charges \(+\mathrm q\) and \(+\mathrm q\) is:

1. $\frac{1}{4{\mathrm{\pi \epsilon}}_{0}}\frac{2\mathrm{q}}{\mathrm{L}}\left(1+\frac{1}{\sqrt{5}}\right)$

2. $\frac{1}{4{\mathrm{\pi \epsilon}}_{0}}\frac{2\mathrm{q}}{\mathrm{L}}\left(1-\frac{1}{\sqrt{5}}\right)$

3. zero

4. $\frac{1}{4{\mathrm{\pi \epsilon}}_{0}}\frac{2\mathrm{q}}{\mathrm{L}}\left(1+\sqrt{5}\right)$

Subtopic: Electric Potential |

73%

From NCERT

AIPMT - 2011

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Eight equally charged tiny drops are combined to form a big drop. If the potential on each drop is 10 V, then the potential of the big drop will be:

1. | 40 V | 2. | 10 V |

3. | 30 V | 4. | 20 V |

Subtopic: Electric Potential |

74%

From NCERT

AIPMT - 1999

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The increasing order of the electrostatic potential energies for the given system of charges is given by:

1. | a = d < b < c | 2. | b = d < c < a |

3. | b = c < a < d | 4. | c < a < b < d |

Subtopic: Electric Potential |

77%

From NCERT

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